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<div class="header">
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<a href="classEigen_1_1Rotation2D-members.html">List of all members</a> &#124;
<a href="#pub-types">Public Types</a> &#124;
<a href="#pub-methods">Public Member Functions</a>  </div>
  <div class="headertitle">
<div class="title">Eigen::Rotation2D&lt; Scalar_ &gt; Class Template Reference<div class="ingroups"><a class="el" href="group__Geometry__chapter.html">Geometry</a> &raquo; <a class="el" href="group__Geometry__Reference.html">Reference</a> &raquo; <a class="el" href="group__Geometry__Module.html">Geometry module</a></div></div>  </div>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename Scalar_&gt;<br />
class Eigen::Rotation2D&lt; Scalar_ &gt;</h3>

<p>Represents a rotation/orientation in a 2 dimensional space. </p>
<p>This is defined in the Geometry module.</p><div class="fragment"><div class="line"><span class="preprocessor">#include &lt;Eigen/Geometry&gt;</span> </div>
</div><!-- fragment --><dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">Scalar_</td><td>the scalar type, i.e., the type of the coefficients</td></tr>
  </table>
  </dd>
</dl>
<p>This class is equivalent to a single scalar representing a counter clock wise rotation as a single angle in radian. It provides some additional features such as the automatic conversion from/to a 2x2 rotation matrix. Moreover this class aims to provide a similar interface to <a class="el" href="classEigen_1_1Quaternion.html" title="The quaternion class used to represent 3D orientations and rotations.">Quaternion</a> in order to facilitate the writing of generic algorithms dealing with rotations.</p>
<dl class="section see"><dt>See also</dt><dd>class <a class="el" href="classEigen_1_1Quaternion.html" title="The quaternion class used to represent 3D orientations and rotations.">Quaternion</a>, class <a class="el" href="classEigen_1_1Transform.html" title="Represents an homogeneous transformation in a N dimensional space.">Transform</a> </dd></dl>
</div><div id="dynsection-0" onclick="return toggleVisibility(this)" class="dynheader closed" style="cursor:pointer;">
  <img id="dynsection-0-trigger" src="closed.png" alt="+"/> Inheritance diagram for Eigen::Rotation2D&lt; Scalar_ &gt;:</div>
<div id="dynsection-0-summary" class="dynsummary" style="display:block;">
</div>
<div id="dynsection-0-content" class="dyncontent" style="display:none;">
<div class="center"><img src="classEigen_1_1Rotation2D__inherit__graph.png" border="0" usemap="#aEigen_1_1Rotation2D_3_01Scalar___01_4_inherit__map" alt="Inheritance graph"/></div>
<map name="aEigen_1_1Rotation2D_3_01Scalar___01_4_inherit__map" id="aEigen_1_1Rotation2D_3_01Scalar___01_4_inherit__map">
<area shape="rect" title="Represents a rotation/orientation in a 2 dimensional space." alt="" coords="5,292,159,545"/>
<area shape="rect" href="classEigen_1_1RotationBase.html" title=" " alt="" coords="7,5,157,244"/>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
Public Types</h2></td></tr>
<tr class="memitem:af5f9de396fbd784ca99b1b70e50ffc8e"><td class="memItemLeft" align="right" valign="top">typedef Scalar_&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a></td></tr>
<tr class="separator:af5f9de396fbd784ca99b1b70e50ffc8e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="inherit_header pub_types_classEigen_1_1RotationBase"><td colspan="2" onclick="javascript:toggleInherit('pub_types_classEigen_1_1RotationBase')"><img src="closed.png" alt="-"/>&#160;Public Types inherited from <a class="el" href="classEigen_1_1RotationBase.html">Eigen::RotationBase&lt; Rotation2D&lt; Scalar_ &gt;, 2 &gt;</a></td></tr>
<tr class="memitem:a2208f5cae3e61336a9fedb4b8ad37d60 inherit pub_types_classEigen_1_1RotationBase"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classEigen_1_1Matrix.html">Matrix</a>&lt; <a class="el" href="classEigen_1_1RotationBase.html#a942f03c9a5bfbad71a313aee8d37887e">Scalar</a>, Dim, Dim &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1RotationBase.html#a2208f5cae3e61336a9fedb4b8ad37d60">RotationMatrixType</a></td></tr>
<tr class="separator:a2208f5cae3e61336a9fedb4b8ad37d60 inherit pub_types_classEigen_1_1RotationBase"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a942f03c9a5bfbad71a313aee8d37887e inherit pub_types_classEigen_1_1RotationBase"><td class="memItemLeft" align="right" valign="top">typedef internal::traits&lt; <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&lt; Scalar_ &gt; &gt;::<a class="el" href="classEigen_1_1RotationBase.html#a942f03c9a5bfbad71a313aee8d37887e">Scalar</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1RotationBase.html#a942f03c9a5bfbad71a313aee8d37887e">Scalar</a></td></tr>
<tr class="separator:a942f03c9a5bfbad71a313aee8d37887e inherit pub_types_classEigen_1_1RotationBase"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a15fabd88ed7691e066954d4ac58942fa"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a15fabd88ed7691e066954d4ac58942fa">angle</a> ()</td></tr>
<tr class="separator:a15fabd88ed7691e066954d4ac58942fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5ddcb93e03e5ebb3f59cdb277dda96dd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a5ddcb93e03e5ebb3f59cdb277dda96dd">angle</a> () const</td></tr>
<tr class="separator:a5ddcb93e03e5ebb3f59cdb277dda96dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a48e5e0488d52ad6ce03f06f711a309cb"><td class="memTemplParams" colspan="2">template&lt;typename NewScalarType &gt; </td></tr>
<tr class="memitem:a48e5e0488d52ad6ce03f06f711a309cb"><td class="memTemplItemLeft" align="right" valign="top">internal::cast_return_type&lt; <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>, <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&lt; NewScalarType &gt; &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a48e5e0488d52ad6ce03f06f711a309cb">cast</a> () const</td></tr>
<tr class="separator:a48e5e0488d52ad6ce03f06f711a309cb"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ab03a25502d68354409374d9850eebe41"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
<tr class="memitem:ab03a25502d68354409374d9850eebe41"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&lt; <a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a> &gt; &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#ab03a25502d68354409374d9850eebe41">fromRotationMatrix</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; Derived &gt; &amp;mat)</td></tr>
<tr class="separator:ab03a25502d68354409374d9850eebe41"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a03e5cc34038a36e9c6d9da4d8d6d942b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a03e5cc34038a36e9c6d9da4d8d6d942b">inverse</a> () const</td></tr>
<tr class="separator:a03e5cc34038a36e9c6d9da4d8d6d942b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af016d3a3c9a2d83ca6350faecd0021fe"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#af016d3a3c9a2d83ca6350faecd0021fe">isApprox</a> (const <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a> &amp;other, const typename <a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>&lt; <a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a> &gt;::Real &amp;prec=<a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>&lt; <a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a> &gt;::dummy_precision()) const</td></tr>
<tr class="separator:af016d3a3c9a2d83ca6350faecd0021fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aaed9817a12e015d6a120a61e509e2b2e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#aaed9817a12e015d6a120a61e509e2b2e">operator*</a> (const <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a> &amp;other) const</td></tr>
<tr class="separator:aaed9817a12e015d6a120a61e509e2b2e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3c4255b708eca459c679d798ec8832c5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Matrix.html">Vector2</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a3c4255b708eca459c679d798ec8832c5">operator*</a> (const <a class="el" href="classEigen_1_1Matrix.html">Vector2</a> &amp;vec) const</td></tr>
<tr class="separator:a3c4255b708eca459c679d798ec8832c5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6cb923096843909e6c7e5ac83646a53d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a6cb923096843909e6c7e5ac83646a53d">operator*=</a> (const <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a> &amp;other)</td></tr>
<tr class="separator:a6cb923096843909e6c7e5ac83646a53d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad65df462388c76b08247e83a892f2c46"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
<tr class="memitem:ad65df462388c76b08247e83a892f2c46"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a> &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#ad65df462388c76b08247e83a892f2c46">operator=</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; Derived &gt; &amp;m)</td></tr>
<tr class="separator:ad65df462388c76b08247e83a892f2c46"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aca106c23ca2d20dd9c1922c844cf0698"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#aca106c23ca2d20dd9c1922c844cf0698">Rotation2D</a> ()</td></tr>
<tr class="separator:aca106c23ca2d20dd9c1922c844cf0698"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af9faf3f03e44dfda9c702a8a8bf9b14f"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
<tr class="memitem:af9faf3f03e44dfda9c702a8a8bf9b14f"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#af9faf3f03e44dfda9c702a8a8bf9b14f">Rotation2D</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; Derived &gt; &amp;m)</td></tr>
<tr class="separator:af9faf3f03e44dfda9c702a8a8bf9b14f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac002cf4824136aa96bad5c5a632f7273"><td class="memTemplParams" colspan="2">template&lt;typename OtherScalarType &gt; </td></tr>
<tr class="memitem:ac002cf4824136aa96bad5c5a632f7273"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#ac002cf4824136aa96bad5c5a632f7273">Rotation2D</a> (const <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&lt; OtherScalarType &gt; &amp;other)</td></tr>
<tr class="separator:ac002cf4824136aa96bad5c5a632f7273"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a370c6ea9da8838d87d21fa0a35ca2e2d"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a370c6ea9da8838d87d21fa0a35ca2e2d">Rotation2D</a> (const <a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a> &amp;a)</td></tr>
<tr class="separator:a370c6ea9da8838d87d21fa0a35ca2e2d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adb5bac9bde10e6cb9e712041cb2663c2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#adb5bac9bde10e6cb9e712041cb2663c2">slerp</a> (const <a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a> &amp;t, const <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a> &amp;other) const</td></tr>
<tr class="separator:adb5bac9bde10e6cb9e712041cb2663c2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2b9f5fa1daf33e31877d32f33569aa05"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a2b9f5fa1daf33e31877d32f33569aa05">smallestAngle</a> () const</td></tr>
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<tr class="memitem:a1ff50116ee68ae2f8019df2a0e6e79b9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a1ff50116ee68ae2f8019df2a0e6e79b9">smallestPositiveAngle</a> () const</td></tr>
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<tr class="memitem:a961167d84c8b9a989f2ba8609a6afcaf"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Matrix.html">Matrix2</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1Rotation2D.html#a961167d84c8b9a989f2ba8609a6afcaf">toRotationMatrix</a> () const</td></tr>
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<tr class="inherit_header pub_methods_classEigen_1_1RotationBase"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classEigen_1_1RotationBase')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classEigen_1_1RotationBase.html">Eigen::RotationBase&lt; Rotation2D&lt; Scalar_ &gt;, 2 &gt;</a></td></tr>
<tr class="memitem:a17e1494056ac5d1fb4d00d8488b6a0a7 inherit pub_methods_classEigen_1_1RotationBase"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&lt; Scalar_ &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1RotationBase.html#a17e1494056ac5d1fb4d00d8488b6a0a7">inverse</a> () const</td></tr>
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<tr class="memitem:a09a6df8b4801f4ec56823695c1116633 inherit pub_methods_classEigen_1_1RotationBase"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1RotationBase.html#a2208f5cae3e61336a9fedb4b8ad37d60">RotationMatrixType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1RotationBase.html#a09a6df8b4801f4ec56823695c1116633">matrix</a> () const</td></tr>
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<tr class="memitem:ad553de027676bded14bbed5623dbdb72 inherit pub_methods_classEigen_1_1RotationBase"><td class="memItemLeft" align="right" valign="top">internal::rotation_base_generic_product_selector&lt; <a class="el" href="classEigen_1_1Rotation2D.html">Rotation2D</a>&lt; Scalar_ &gt;, OtherDerived, OtherDerived::IsVectorAtCompileTime &gt;::ReturnType&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1RotationBase.html#ad553de027676bded14bbed5623dbdb72">operator*</a> (const <a class="el" href="structEigen_1_1EigenBase.html">EigenBase</a>&lt; OtherDerived &gt; &amp;e) const</td></tr>
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<tr class="memitem:a1258d0d2205a25d75f17ac947b28ef77 inherit pub_methods_classEigen_1_1RotationBase"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Transform.html">Transform</a>&lt; <a class="el" href="classEigen_1_1RotationBase.html#a942f03c9a5bfbad71a313aee8d37887e">Scalar</a>, Dim, Mode &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1RotationBase.html#a1258d0d2205a25d75f17ac947b28ef77">operator*</a> (const <a class="el" href="classEigen_1_1Transform.html">Transform</a>&lt; <a class="el" href="classEigen_1_1RotationBase.html#a942f03c9a5bfbad71a313aee8d37887e">Scalar</a>, Dim, Mode, Options &gt; &amp;t) const</td></tr>
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<h2 class="groupheader">Member Typedef Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#af5f9de396fbd784ca99b1b70e50ffc8e">&#9670;&nbsp;</a></span>Scalar</h2>

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template&lt;typename Scalar_ &gt; </div>
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<p>the scalar type of the coefficients </p>

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<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<p>Construct a 2D counter clock wise rotation from the angle <em>a</em> in radian. </p>

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<p>Default constructor wihtout initialization. The represented rotation is undefined. </p>

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<p>Construct a 2D rotation from a 2x2 rotation matrix <em>mat</em>.</p>
<dl class="section see"><dt>See also</dt><dd>fromRotationMatrix() </dd></dl>

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<p>Copy constructor with scalar type conversion </p>

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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a15fabd88ed7691e066954d4ac58942fa">&#9670;&nbsp;</a></span>angle() <span class="overload">[1/2]</span></h2>

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<dl class="section return"><dt>Returns</dt><dd>a read-write reference to the rotation angle </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>the rotation angle </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a48e5e0488d52ad6ce03f06f711a309cb">&#9670;&nbsp;</a></span>cast()</h2>

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<dl class="section return"><dt>Returns</dt><dd><code>*this</code> with scalar type casted to <em>NewScalarType</em> </dd></dl>
<p>Note that if <em>NewScalarType</em> is equal to the current scalar type of <code>*this</code> then this function smartly returns a const reference to <code>*this</code>. </p>

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<h2 class="memtitle"><span class="permalink"><a href="#ab03a25502d68354409374d9850eebe41">&#9670;&nbsp;</a></span>fromRotationMatrix()</h2>

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<p>Set <code>*this</code> from a 2x2 rotation matrix <em>mat</em>. In other words, this function extract the rotation angle from the rotation matrix. </p>

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<h2 class="memtitle"><span class="permalink"><a href="#a03e5cc34038a36e9c6d9da4d8d6d942b">&#9670;&nbsp;</a></span>inverse()</h2>

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<dl class="section return"><dt>Returns</dt><dd>the inverse rotation </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#af016d3a3c9a2d83ca6350faecd0021fe">&#9670;&nbsp;</a></span>isApprox()</h2>

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          <td class="paramname"><em>prec</em> = <code><a class="el" href="structEigen_1_1NumTraits.html">NumTraits</a>&lt;<a class="el" href="classEigen_1_1Rotation2D.html#af5f9de396fbd784ca99b1b70e50ffc8e">Scalar</a>&gt;::dummy_precision()</code>&#160;</td>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if <code>*this</code> is approximately equal to <em>other</em>, within the precision determined by <em>prec</em>.</dd></dl>
<dl class="section see"><dt>See also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#ae8443357b808cd393be1b51974213f9c">MatrixBase::isApprox()</a> </dd></dl>

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<p>Concatenates two rotations </p>

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<h2 class="memtitle"><span class="permalink"><a href="#a3c4255b708eca459c679d798ec8832c5">&#9670;&nbsp;</a></span>operator*() <span class="overload">[2/2]</span></h2>

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<p>Applies the rotation to a 2D vector </p>

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<h2 class="memtitle"><span class="permalink"><a href="#a6cb923096843909e6c7e5ac83646a53d">&#9670;&nbsp;</a></span>operator*=()</h2>

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<p>Concatenates two rotations </p>

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<h2 class="memtitle"><span class="permalink"><a href="#ad65df462388c76b08247e83a892f2c46">&#9670;&nbsp;</a></span>operator=()</h2>

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<p>Set <code>*this</code> from a 2x2 rotation matrix <em>mat</em>. In other words, this function extract the rotation angle from the rotation matrix.</p>
<p>This method is an alias for fromRotationMatrix()</p>
<dl class="section see"><dt>See also</dt><dd>fromRotationMatrix() </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#adb5bac9bde10e6cb9e712041cb2663c2">&#9670;&nbsp;</a></span>slerp()</h2>

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<dl class="section return"><dt>Returns</dt><dd>the spherical interpolation between <code>*this</code> and <em>other</em> using parameter <em>t</em>. It is in fact equivalent to a linear interpolation. </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a2b9f5fa1daf33e31877d32f33569aa05">&#9670;&nbsp;</a></span>smallestAngle()</h2>

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<dl class="section return"><dt>Returns</dt><dd>the rotation angle in [-pi,pi] </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a1ff50116ee68ae2f8019df2a0e6e79b9">&#9670;&nbsp;</a></span>smallestPositiveAngle()</h2>

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<dl class="section return"><dt>Returns</dt><dd>the rotation angle in [0,2pi] </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a961167d84c8b9a989f2ba8609a6afcaf">&#9670;&nbsp;</a></span>toRotationMatrix()</h2>

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<p>Constructs and </p><dl class="section return"><dt>Returns</dt><dd>an equivalent 2x2 rotation matrix. </dd></dl>

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<hr/>The documentation for this class was generated from the following file:<ul>
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